 01316 Bach V., Klopp F., Zenk H.
 Mathematical Analysis of the Photoelectric Effect
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Sep 3, 01

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Abstract. We study the photoelectric effect on the example of a simplified
model of an atom with a single bound state, coupled to the quantized
electromagnetic field.
For this model, we show that Einstein's prediction for the
photoelectric effect is qualitatively and quantitatively correct to
leading order in the coupling parameter. More specifically,
considering the ionization of the atom by an incident photon cloud
consisting of $N$ photons, we prove that the total ionized charge is
additive in the $N$ involved photons. Furthermore, if the photon
cloud is approaching the atom from a large distance or is
monochromatic, the kinetic energy of the ejected electron is shown
to be given by the difference of the photon energy of each single
photon in the photon cloud and the ionization energy.
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